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Finding the Third Proportional to 48,755 and 105,505

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Solution

The third proportional to 48,755 and 105,505 is: 228,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,755 : 105,505 = 105,505 : x
  2. Step 2: Convert to fraction form
    48,755/105,505 = 105,505/x
  3. Step 3: Cross multiply
    48,755x = 105,505 × 105,505
  4. Step 4: Simplify right side
    48,755x = 11,131,305,025
  5. Step 5: Solve for x
    x = 11,131,305,025/48,755
  6. Step 6: Final answer
    x = 228,311.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.